%0 Journal Article
%T POSSIBLE SPACE-TIME MANIFOLDS AND KINEMATICS<br>可能的空-时流形和运动群
%A ZHANG LI-NING
%A ZHOU ZHEN-LONG
%A <br>张历宁
%A 邹振隆
%J 物理学报
%D 1981
%I 
%X In this work, analysis of the space-time manifold, their kinematic groups and Lie algebras are made intuitive as far as possible. First of all, from the analysis of the iner-tial frames it is shown that according to the Beltrami theorem in Riemann Geometry, the space-time manifold, in which there exists global inertial frame, should be a pseudo-sphere. So that the kinematic group must be a rotation group, thus the explicity analy-tical expressions of such kinematical transformations and the commutative relations among the corresponding generators can be formulated easily. Consequently, the con-tractions of such manifolds, kinematic groups and Lie algebras can be deduced concretely and intuitively.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=48249C9D0AB516DE057993FA1C842CB4&yid=AA64127AB7DEB65D&vid=340AC2BF8E7AB4FD&iid=CA4FD0336C81A37A&sid=6209D9E8050195F5&eid=94E7F66E6C42FA23&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0